Dowker filters and Magidor forcing

preprint2019arXivOpen access

Abstract

We prove that the consistency of the existence of a Dowker filter at κ+κ^+ along with 2κ=κ+2^κ=κ^+ where κκ is regular and uncountable. Using Magidor forcing we also prove the consistency of the existence of a Dowker filter at μ+μ^+ where μ>cf(μ)>ωμ>{\rm cf}(μ)>ω.

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